Web server form an old Android phone?

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this might be an absurd question, but what are my chances of building a Linux-based web server on top of my old phone (a Huawei Pulse)?

The phone has a processor and 32 GB of storage, networking is done by WiFi and even a UPS is presented (as the old battery, with a fantastic one or half a day uptime). It's much better (as a low/no-cost alternative) as Google App Engine (with its limitations growing on a monthly basis), say.